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14122134304 = 254352119699
BaseRepresentation
bin11010010011011111…
…01010101100100000
31100110012021202100021
431021233222230200
5212410231244204
610253154203224
71006650106135
oct151157525440
940405252307
1014122134304
115a97638583
1228a1583514
131440a023b5
1497d7ca58c
15579c0b154
hex349beab20

14122134304 has 48 divisors (see below), whose sum is σ = 28505584800. Its totient is φ = 6883269120.

The previous prime is 14122134293. The next prime is 14122134307. The reversal of 14122134304 is 40343122141.

14122134304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14122134307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707047 + ... + 726745.

It is an arithmetic number, because the mean of its divisors is an integer number (593866350).

Almost surely, 214122134304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252792400).

14122134304 is an abundant number, since it is smaller than the sum of its proper divisors (14383450496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14122134304 is a wasteful number, since it uses less digits than its factorization.

14122134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20273 (or 20265 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14122134304 its reverse (40343122141), we get a palindrome (54465256445).

The spelling of 14122134304 in words is "fourteen billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 86 172 344 521 688 1042 1376 2084 4168 8336 16672 19699 22403 39398 44806 78796 89612 157592 179224 315184 358448 630368 716896 847057 1694114 3388228 6776456 10263179 13552912 20526358 27105824 41052716 82105432 164210864 328421728 441316697 882633394 1765266788 3530533576 7061067152 14122134304